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Title: On some categorical-algebraic conditions in S-protomodular categories
Authors: Martins-Ferreira, Nelson
Montoli, Andrea
Sobral, Manuela
Keywords: Mathematics - Category Theory
Issue Date: Sep-2017
Publisher: Logical Methods in Computer Science
Project: CMUC-UID/MAT/00324/2013 
Serial title, monograph or event: Logical Methods in Computer Science
Volume: 13
Issue: 3
Abstract: In the context of protomodular categories, several additional conditions have been considered in order to obtain a closer group-like behavior. Among them are locally algebraic cartesian closedness and algebraic coherence. The recent notion of S-protomodular category, whose main examples are the category of monoids and, more generally, categories of monoids with operations and Joónsson-Tarski varieties, raises a similar question: how to get a description of S-protomodular categories with a strong monoid-like behavior. In this paper we consider relative versions of the conditions mentioned above, in order to exhibit the parallelism with the "absolute" protomodular context and to obtain a hierarchy among S-protomodular categories.
DOI: 10.23638/LMCS-13(3:18)2017
Rights: openAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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